How do you find the exact value of csc 5pi 3?

To find the exact value of csc(5π/3), first recognize that csc(x) = 1/sin(x). The angle 5π/3 is in the fourth quadrant, where sine is negative. The reference angle is π/3. Therefore, sin(5π/3) = -sin(π/3) = -√3/2. Finally, csc(5π/3) = 1/(-√3/2) = -2/√3 = -2√3/3.